Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data.
-Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values correspond to women who lost weight.

$$\begin{array} { l l l l l l l l l l l l }
4 & - 8 & 14 & 10 & - 9 & 12 & - 6 & 1 & 0 & 4 & - 3 & 9
\end{array}$$
A) 8.0 lb
B) 7.9 lb
C) 7.5 lb
D) 8.2 lb

Question

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data.
-Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values correspond to women who lost weight.

$$\begin{array} { l l l l l l l l l l l l } 
4 & - 8 & 14 & 10 & - 9 & 12 & - 6 & 1 & 0 & 4 & - 3 & 9
\end{array}$$
A) 8.0 lb
B) 7.9 lb
C) 7.5 lb
D) 8.2 lb

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean of the data, then calculate each data point's deviation from the mean, square these deviations, find the average of these squared deviations, and finally take the square root. The calculated standard deviation for this data set is approximately 7.9 lb.

Find the Standard Deviation for the Given Sample Data 4−81410−912−6104−39\begin{array} { l l l l l l l l l l l l } 4 & - 8 & 14 & 10 & - 9 & 12 & - 6 & 1 & 0 & 4 & - 3 & 9\end{array}4​−8​14​10​−9​12​−6​1​0​4​−3​9​

Find the Standard Deviation for the Given Sample Data $\begin{array} { l l l l l l l l l l l l } 4 & - 8 & 14 & 10 & - 9 & 12 & - 6 & 1 & 0 & 4 & - 3 & 9\end{array}$